Ergodic averages with generalized weights

Doğan Çömez, and Semyon N. Litvinov. "Ergodic averages with generalized weights." Studia Mathematica 173.2 (2006): 103-128. <http://eudml.org/doc/285058>.

@article{DoğanÇömez2006,
abstract = {Two types of weighted ergodic averages are studied. It is shown that if F = \{Fₙ\} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.},
author = {Doğan Çömez, Semyon N. Litvinov},
journal = {Studia Mathematica},
keywords = {weighted and subsequential ergodic theorems; admissible processes; bounded Besicovitch sequences},
language = {eng},
number = {2},
pages = {103-128},
title = {Ergodic averages with generalized weights},
url = {http://eudml.org/doc/285058},
volume = {173},
year = {2006},
}

TY - JOUR
AU - Doğan Çömez
AU - Semyon N. Litvinov
TI - Ergodic averages with generalized weights
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 2
SP - 103
EP - 128
AB - Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.
LA - eng
KW - weighted and subsequential ergodic theorems; admissible processes; bounded Besicovitch sequences
UR - http://eudml.org/doc/285058
ER -